Is there any coherent measure for eternal inflation
Is there any coherent measure for eternal inflation
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是否有任何一致的措施来衡量永恒的通货膨胀
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
K. Olum
中科院分区：
文献类型：
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作者：
K. Olum
一个不断膨胀的宇宙会产生无限大的空间体积，所以每一个可能的事件都会发生无限次，不可能用频率来定义概率。这个问题通常是通过一个措施来解决的，它规定了无穷大，并产生有意义的预测。我认为，任何措施都应该遵守某些一般公理，但然后给出一个简单的玩具模型，其中可以证明，没有遵守公理的措施存在。在某些永恒暴胀的情况下，存在着遵守公理的度量，但由于其他原因，所有这些度量似乎都是不可接受的。因此，在永恒暴胀中定义合理概率的问题似乎还没有解决。
An eternally inflating universe produces an infinite amount of spatial volume, so every possible event happens an infinite number of times, and it is impossible to define probabilities in terms of frequencies. This problem is usually addressed by means of a measure, which regulates the infinities and produces meaningful predictions. I argue that any measure should obey certain general axioms, but then give a simple toy model in which one can prove that no measure obeying the axioms exists. In certain cases of eternal inflation there are measures that obey the axioms, but all such measures appear to be unacceptable for other reasons. Thus the problem of defining sensible probabilities in eternal inflation seems not be solved.